Question

A parent bakes two types of cookies, white chocolate and peanut butter, for a bake sale. The parent bakes 5 times as many white chocolate cookies, w, as peanut butter cookies, p, and bakes a total of 360 cookies.

Which equations represent the situation?
A) p - w = 360 and p = 5w
B) p - w = 360 and w = 5p
C) p + w = 360 and p = 5w
D) p + w = 360 and w = 5p"

Answer 1

The parent baked 60 peanut butter cookies and 300 white chocolate cookies.

Step-by-step explanation:

The parent bakes 5 times as many white chocolate cookies, w, as peanut butter cookies, p. The total number of cookies baked is 360. We can represent the situation with the equations:

w = 5p (Equation 1)

w + p = 360 (Equation 2)

From Equation 1, we substitute 5p for w in Equation 2:

5p + p = 360

Combining like terms, we get:

6p = 360

Dividing both sides by 6, we find:

p = 60

Substituting the value of p back into Equation 1, we find:

w = 5(60) = 300

So, the parent baked 60 peanut butter cookies and 300 white chocolate cookies.